This question requires an analysis of the boiling points of ammonia (NHโ) and phosphine (PHโ) in the context of their intermolecular forces, as described in an assertion and a corresponding reason.
Concept Used:
The boiling point of a substance is the temperature at which its vapor pressure equals the pressure surrounding the liquid, and the liquid changes into a vapor. The boiling point is directly related to the strength of the intermolecular forces (IMFs) between the molecules. Stronger IMFs require more energy (and thus a higher temperature) to overcome, leading to a higher boiling point.
The primary types of intermolecular forces relevant here are:
- Hydrogen Bonding: A special, strong type of dipole-dipole attraction that occurs when hydrogen is bonded to a highly electronegative atom (like Nitrogen, Oxygen, or Fluorine). The hydrogen atom carries a significant partial positive charge and is attracted to the lone pair of electrons on an adjacent electronegative atom.
- Van der Waals Forces: These are weaker forces that include dipole-dipole interactions and London dispersion forces. They exist in all molecules but are the dominant forces in nonpolar molecules or molecules that cannot form hydrogen bonds.
Step-by-Step Solution:
Step 1: Analyze the Assertion (A).
The assertion states: "PHโ has lower boiling point than NHโ."
Let's compare the experimentally determined boiling points of these two compounds:
- Boiling point of Ammonia (NHโ) = -33.34 ยฐC (or 239.81 K)
- Boiling point of Phosphine (PHโ) = -87.7 ยฐC (or 185.45 K)
Since -87.7 ยฐC is a lower temperature than -33.34 ยฐC, the boiling point of PHโ is indeed lower than that of NHโ. Therefore, the statement made in Assertion (A) is true.
Step 2: Analyze the Reason (R).
The reason states: "In liquid state NHโ molecules are associated through vander waalโs forces, but PHโ molecules are associated through hydrogen bonding."
Let's examine the intermolecular forces present in each liquid:
- In liquid NHโ: Nitrogen is a small and highly electronegative atom. The N-H bonds are very polar. Consequently, NHโ molecules can form strong intermolecular hydrogen bonds with each other. While van der Waals forces also exist, hydrogen bonding is the dominant and much stronger force.
- In liquid PHโ: Phosphorus is significantly less electronegative than nitrogen (electronegativity of P โ 2.19, N โ 3.04). The P-H bond has very little polarity. Due to this low polarity and the larger size of the phosphorus atom, PHโ molecules are incapable of forming hydrogen bonds. The primary intermolecular forces in liquid PHโ are the much weaker van der Waals forces (specifically, dipole-dipole and London dispersion forces).
The statement in the Reason claims the opposite: it incorrectly assigns van der Waals forces to NHโ and hydrogen bonding to PHโ. Therefore, the statement made in Reason (R) is false.
Step 3: Conclude the relationship between Assertion and Reason.
We have established that Assertion (A) is a true statement, but Reason (R) is a false statement. The actual reason for Assertion (A) being true is that NHโ has a higher boiling point due to the presence of strong intermolecular hydrogen bonds, which are absent in PHโ.
Final Result:
Based on the analysis, Assertion (A) is a correct statement, but Reason (R) is an incorrect statement.
Therefore, the most appropriate answer is: (A) is true but (R) is false.